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Finding the Fourth Proportional to 55,309.60, 82,964.40 and 20,252.80

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Solution

The fourth proportional to 55,309.60, 82,964.40 and 20,252.80 is: 30,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,309.60 : 82,964.40 = 20,252.80 : x
  2. Step 2: Convert to fraction form
    55,309.60/82,964.40 = 20,252.80/x
  3. Step 3: Cross multiply
    55,309.60x = 82,964.40 × 20,252.80
  4. Step 4: Simplify right side
    55,309.60x = 1,680,261,400.32
  5. Step 5: Solve for x
    x = 1,680,261,400.32/55,309.60
  6. Step 6: Final answer
    x = 30,379.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.